BaY₁₆Si₄O₃₃ containing Ba(SiO₄)₄ orthosilicates

Single crystals of a new quaternary oxide, barium hexa­deca­yttrium tetra­silicon tritriacontaoxide, BaY₁₆Si₄O₃₃, were obtained from a melt-solidified sample prepared by heating a mixture of BaCO₃, Y₂O₃, and SiO₂ at 2073 K. The dielectric constant measured for polycrystalline ceramics of BaY₁₆Si₄O₃₃ sintered at 1953 K was 13 (298 K, 1 MHz), and the thermal expansion coefficient was 8.70 × 10 ⁻⁶ K⁻¹ (298–873 K), which are close to the values previously reported for Y₂O₃.

Computing details

Data collection: BIS (Bruker, 2018); cell refinement: APEX3 (Bruker, 2018); data reduction: SAINT (Bruker, 2018); program(s) used to solve structure: SHELXT2015 (Sheldrick, 2015a); program(s) used to refine structure: SHELXL2015 (Sheldrick, 2015b); molecular graphics: VESTA (Momma & Izumi, 2011).

Barium hexadecayttrium tetrasilicon tritriacontaoxide

Crystal data

BaY16Si4O33	F(000) = 4000
Mr = 2200.26	Dx = 4.948 Mg m^−3
Monoclinic, P21/c	Mo Kα radiation, λ = 0.71073 Å
a = 9.1095 (2) Å	Cell parameters from 120 reflections
b = 18.7306 (4) Å	θ = 6.9–30.7°
c = 18.3105 (4) Å	µ = 32.60 mm^−1
β = 109.008 (1)°	T = 300 K
V = 2953.90 (11) Å^3	Prismatic, translucent colourless
Z = 4	0.09 × 0.08 × 0.04 mm

Data collection

Bruker APEXII CCD diffractometer	8279 independent reflections
Radiation source: micro focus sealed tube	7469 reflections with I > 2σ(I)
Detector resolution: 7.3910 pixels mm^-1	Rint = 0.054
φ and ω scans	θmax = 29.6°, θmin = 2.2°
Absorption correction: multi-scan (SADABS; Krause et al., 2015)	h = −12→12
Tmin = 0.037, Tmax = 0.094	k = −26→26
128151 measured reflections	l = −25→25

Refinement

Refinement on F^2	0 restraints
Least-squares matrix: full	w = 1/[σ^2(Fo^2) + (0.0053P)^2 + 3.9938P] where P = (Fo^2 + 2Fc^2)/3
R[F^2 > 2σ(F^2)] = 0.016	(Δ/σ)max = 0.002
wR(F^2) = 0.034	Δρmax = 0.76 e Å^−3
S = 1.07	Δρmin = −0.90 e Å^−3
8279 reflections	Extinction correction: SHELXL-2017/1 (Sheldrick 2015b)
488 parameters	Extinction coefficient: 0.000458 (14)

Special details

Geometry. All esds (except the esd in the dihedral angle between two l.s. planes) are estimated using the full covariance matrix. The cell esds are taken into account individually in the estimation of esds in distances, angles and torsion angles; correlations between esds in cell parameters are only used when they are defined by crystal symmetry. An approximate (isotropic) treatment of cell esds is used for estimating esds involving l.s. planes.

Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Ų)

	x	y	z	Uiso*/Ueq
Ba1	0.05096 (2)	0.34871 (2)	0.21348 (2)	0.01140 (3)
Y1	0.02577 (3)	0.14161 (2)	0.08564 (2)	0.00889 (4)
Y2	0.04208 (3)	0.55228 (2)	0.10929 (2)	0.00978 (4)
Y3	0.06456 (3)	0.54810 (2)	0.58895 (2)	0.00912 (4)
Y4	0.07501 (3)	0.75067 (2)	0.11164 (2)	0.00919 (4)
Y5	0.21458 (3)	0.03182 (2)	0.28469 (2)	0.00892 (4)
Y6	0.21892 (3)	0.65949 (2)	0.30143 (2)	0.00932 (4)
Y7	0.28387 (3)	0.34616 (2)	0.47068 (2)	0.00820 (4)
Y8	0.33165 (3)	0.14258 (2)	0.46043 (2)	0.00887 (4)
Y9	0.39522 (3)	0.44733 (2)	0.15331 (2)	0.00900 (4)
Y10	0.40049 (3)	0.24990 (2)	0.14656 (2)	0.00889 (4)
Y11	0.40726 (3)	0.05855 (2)	0.14981 (2)	0.00802 (4)
Y12	0.52776 (3)	0.34670 (2)	0.33477 (2)	0.00940 (4)
Y13	0.59233 (3)	0.13725 (2)	0.33939 (2)	0.00793 (4)
Y14	0.65146 (2)	0.06006 (2)	0.01018 (2)	0.00798 (4)
Y15	0.65622 (3)	0.24911 (2)	0.01128 (2)	0.00842 (4)
Y16	0.68494 (2)	0.45394 (2)	0.02227 (2)	0.00852 (4)
Si1	0.04708 (7)	0.35119 (3)	0.04451 (4)	0.00844 (11)
Si2	0.21185 (7)	0.21283 (3)	0.29091 (4)	0.00787 (11)
Si3	0.21308 (7)	0.47988 (3)	0.30422 (4)	0.00811 (11)
Si4	0.71110 (7)	0.34341 (3)	0.20491 (4)	0.00886 (11)
O1	0.02416 (19)	0.34345 (8)	0.46027 (9)	0.0087 (3)
O2	0.0293 (2)	0.92849 (10)	0.44535 (11)	0.0184 (4)
O3	0.0538 (2)	0.19082 (9)	0.22050 (10)	0.0140 (3)
O4	0.0610 (2)	0.78439 (10)	0.44866 (11)	0.0197 (4)
O5	0.0615 (2)	0.50967 (10)	0.23272 (10)	0.0155 (3)
O6	0.0702 (2)	0.15333 (9)	0.46016 (9)	0.0121 (3)
O7	0.09118 (19)	0.54121 (9)	0.47234 (9)	0.0106 (3)
O8	0.1498 (2)	0.42907 (9)	0.35965 (10)	0.0123 (3)
O9	0.15764 (19)	0.04903 (8)	0.16211 (9)	0.0096 (3)
O10	0.16254 (19)	0.64694 (8)	0.17595 (9)	0.0097 (3)
O11	0.1635 (2)	0.83162 (11)	0.20990 (11)	0.0241 (4)
O12	0.1654 (2)	0.25295 (9)	0.36021 (10)	0.0142 (3)
O13	0.20274 (18)	0.04431 (8)	0.40274 (9)	0.0082 (3)
O14	0.22185 (19)	0.34823 (9)	0.10856 (10)	0.0122 (3)
O15	0.26570 (18)	0.53999 (9)	0.09494 (9)	0.0096 (3)
O16	0.26979 (19)	0.15764 (8)	0.09357 (9)	0.0092 (3)
O17	0.3161 (2)	0.42989 (9)	0.26470 (10)	0.0120 (3)
O18	0.31663 (19)	0.14382 (8)	0.32837 (9)	0.0105 (3)
O19	0.31924 (19)	0.26628 (9)	0.25893 (9)	0.0111 (3)
O20	0.40515 (19)	0.05377 (8)	0.02510 (9)	0.0091 (3)
O21	0.41112 (19)	0.25876 (8)	0.02745 (9)	0.0102 (3)
O22	0.44583 (19)	0.44667 (8)	0.04263 (9)	0.0099 (3)
O23	0.45573 (18)	0.03137 (8)	0.28014 (9)	0.0098 (3)
O24	0.50650 (19)	0.34326 (8)	0.44659 (9)	0.0097 (3)
O25	0.53739 (18)	0.35011 (8)	0.21108 (9)	0.0096 (3)
O26	0.54671 (19)	0.16143 (8)	0.21134 (9)	0.0096 (3)
O27	0.57760 (19)	0.14377 (8)	0.46158 (9)	0.0092 (3)
O28	0.66921 (19)	0.44072 (8)	0.38329 (9)	0.0103 (3)
O29	0.67975 (19)	0.25219 (8)	0.38636 (9)	0.0100 (3)
O30	0.68286 (19)	0.04695 (9)	0.15203 (9)	0.0110 (3)
O31	0.7075 (2)	0.27406 (9)	0.15147 (11)	0.0190 (4)
O32	0.7519 (2)	0.41584 (9)	0.16672 (10)	0.0134 (3)
O33	0.77970 (19)	0.15657 (8)	0.07783 (9)	0.0085 (3)

Atomic displacement parameters (Ų)

	U^11	U^22	U^33	U^12	U^13	U^23
Ba1	0.01007 (6)	0.01158 (6)	0.01264 (7)	0.00016 (5)	0.00381 (5)	0.00013 (5)
Y1	0.00706 (10)	0.01126 (10)	0.00829 (10)	−0.00009 (8)	0.00242 (8)	−0.00038 (7)
Y2	0.00673 (10)	0.00988 (10)	0.01212 (10)	0.00019 (8)	0.00223 (8)	−0.00088 (8)
Y3	0.00828 (10)	0.00970 (9)	0.00923 (10)	0.00122 (8)	0.00264 (8)	0.00187 (8)
Y4	0.00750 (10)	0.00867 (9)	0.01056 (10)	0.00052 (8)	0.00178 (8)	0.00148 (8)
Y5	0.00866 (10)	0.01055 (10)	0.00723 (9)	−0.00086 (8)	0.00217 (8)	−0.00042 (7)
Y6	0.00816 (10)	0.01254 (10)	0.00706 (9)	0.00077 (8)	0.00223 (8)	0.00055 (7)
Y7	0.00724 (10)	0.00913 (9)	0.00804 (9)	−0.00020 (8)	0.00224 (7)	−0.00029 (7)
Y8	0.00789 (10)	0.00854 (9)	0.01006 (10)	−0.00088 (8)	0.00273 (8)	−0.00153 (7)
Y9	0.01067 (10)	0.00790 (9)	0.00788 (9)	0.00026 (8)	0.00226 (8)	0.00023 (7)
Y10	0.01035 (10)	0.00768 (9)	0.00781 (10)	−0.00013 (7)	0.00182 (8)	−0.00046 (7)
Y11	0.00807 (10)	0.00840 (9)	0.00715 (9)	−0.00019 (7)	0.00186 (7)	−0.00013 (7)
Y12	0.01153 (10)	0.00896 (9)	0.00710 (9)	−0.00063 (8)	0.00222 (8)	−0.00024 (7)
Y13	0.00789 (10)	0.00852 (9)	0.00716 (9)	−0.00028 (7)	0.00215 (7)	−0.00015 (7)
Y14	0.00767 (10)	0.00776 (9)	0.00807 (9)	−0.00032 (7)	0.00196 (7)	−0.00037 (7)
Y15	0.00900 (10)	0.00763 (9)	0.00850 (9)	0.00073 (7)	0.00266 (8)	0.00070 (7)
Y16	0.00846 (10)	0.00831 (9)	0.00839 (9)	−0.00055 (8)	0.00221 (8)	−0.00087 (7)
Si1	0.0082 (3)	0.0095 (3)	0.0074 (3)	−0.0004 (2)	0.0021 (2)	0.0001 (2)
Si2	0.0074 (3)	0.0080 (3)	0.0078 (3)	0.0001 (2)	0.0020 (2)	0.0005 (2)
Si3	0.0081 (3)	0.0082 (3)	0.0078 (3)	−0.0006 (2)	0.0024 (2)	−0.0003 (2)
Si4	0.0077 (3)	0.0089 (3)	0.0098 (3)	0.0004 (2)	0.0026 (2)	0.0016 (2)
O1	0.0095 (8)	0.0092 (7)	0.0075 (7)	0.0002 (6)	0.0027 (6)	−0.0005 (6)
O2	0.0129 (9)	0.0146 (8)	0.0244 (10)	−0.0032 (7)	0.0017 (7)	0.0048 (7)
O3	0.0102 (8)	0.0183 (9)	0.0112 (8)	−0.0022 (7)	0.0006 (6)	−0.0022 (7)
O4	0.0168 (9)	0.0195 (9)	0.0230 (10)	0.0051 (7)	0.0069 (8)	−0.0031 (8)
O5	0.0118 (8)	0.0212 (9)	0.0121 (8)	0.0018 (7)	0.0020 (7)	0.0048 (7)
O6	0.0113 (8)	0.0156 (8)	0.0087 (8)	0.0005 (6)	0.0022 (6)	0.0004 (6)
O7	0.0086 (8)	0.0130 (8)	0.0094 (8)	−0.0008 (6)	0.0017 (6)	0.0004 (6)
O8	0.0127 (8)	0.0119 (8)	0.0135 (8)	0.0001 (6)	0.0058 (6)	0.0020 (6)
O9	0.0092 (8)	0.0104 (7)	0.0085 (7)	−0.0016 (6)	0.0017 (6)	−0.0010 (6)
O10	0.0099 (8)	0.0099 (7)	0.0083 (7)	0.0003 (6)	0.0018 (6)	−0.0008 (6)
O11	0.0132 (9)	0.0377 (12)	0.0181 (9)	0.0014 (8)	0.0005 (7)	−0.0145 (8)
O12	0.0133 (9)	0.0170 (8)	0.0147 (8)	−0.0021 (7)	0.0077 (7)	−0.0038 (7)
O13	0.0084 (7)	0.0085 (7)	0.0073 (7)	−0.0001 (6)	0.0020 (6)	−0.0002 (6)
O14	0.0092 (8)	0.0126 (8)	0.0113 (8)	0.0008 (6)	−0.0016 (6)	−0.0013 (6)
O15	0.0085 (8)	0.0108 (7)	0.0097 (7)	0.0008 (6)	0.0031 (6)	0.0004 (6)
O16	0.0081 (8)	0.0099 (7)	0.0093 (7)	0.0003 (6)	0.0026 (6)	0.0001 (6)
O17	0.0125 (8)	0.0121 (8)	0.0125 (8)	0.0015 (6)	0.0054 (6)	−0.0004 (6)
O18	0.0102 (8)	0.0092 (7)	0.0111 (8)	−0.0002 (6)	0.0021 (6)	0.0011 (6)
O19	0.0128 (8)	0.0109 (7)	0.0107 (8)	−0.0021 (6)	0.0053 (6)	0.0001 (6)
O20	0.0105 (8)	0.0077 (7)	0.0089 (7)	−0.0011 (6)	0.0028 (6)	−0.0006 (6)
O21	0.0115 (8)	0.0091 (7)	0.0110 (8)	0.0004 (6)	0.0049 (6)	0.0013 (6)
O22	0.0092 (8)	0.0114 (8)	0.0097 (7)	0.0003 (6)	0.0038 (6)	−0.0004 (6)
O23	0.0081 (8)	0.0121 (8)	0.0086 (7)	−0.0005 (6)	0.0021 (6)	0.0011 (6)
O24	0.0081 (8)	0.0112 (7)	0.0099 (7)	−0.0003 (6)	0.0030 (6)	0.0005 (6)
O25	0.0081 (8)	0.0108 (7)	0.0094 (7)	0.0004 (6)	0.0019 (6)	0.0004 (6)
O26	0.0084 (8)	0.0108 (7)	0.0088 (7)	0.0003 (6)	0.0020 (6)	0.0003 (6)
O27	0.0099 (8)	0.0091 (7)	0.0086 (7)	−0.0002 (6)	0.0032 (6)	−0.0009 (6)
O28	0.0104 (8)	0.0104 (7)	0.0091 (7)	−0.0017 (6)	0.0020 (6)	0.0001 (6)
O29	0.0093 (8)	0.0099 (7)	0.0107 (8)	0.0003 (6)	0.0031 (6)	0.0005 (6)
O30	0.0103 (8)	0.0109 (7)	0.0111 (8)	0.0023 (6)	0.0024 (6)	0.0025 (6)
O31	0.0301 (11)	0.0097 (8)	0.0221 (10)	0.0016 (7)	0.0153 (8)	−0.0009 (7)
O32	0.0161 (9)	0.0114 (8)	0.0130 (8)	−0.0029 (7)	0.0052 (7)	0.0014 (6)
O33	0.0082 (7)	0.0086 (7)	0.0082 (7)	0.0002 (6)	0.0019 (6)	−0.0003 (6)

Geometric parameters (Å, º)

Ba1—O17	2.7478 (17)	Y8—O12	2.8503 (18)
Ba1—O11^i	2.7696 (19)	Y9—O15	2.1739 (16)
Ba1—O19	2.7793 (17)	Y9—O23^viii	2.1745 (16)
Ba1—O14	2.8395 (17)	Y9—O22	2.2201 (16)
Ba1—O32^ii	2.8661 (18)	Y9—O25	2.2847 (16)
Ba1—O8	2.9444 (17)	Y9—O17	2.3963 (17)
Ba1—O3	2.9600 (17)	Y9—O14	2.4017 (17)
Ba1—O5	3.0333 (18)	Y10—O16	2.1430 (16)
Ba1—Si2	3.0467 (6)	Y10—O26	2.2131 (16)
Ba1—Si4^ii	3.0500 (7)	Y10—O21	2.2207 (16)
Ba1—O4^i	3.0551 (19)	Y10—O25	2.3482 (16)
Ba1—Si3	3.0626 (6)	Y10—O14	2.4055 (16)
Ba1—Si1	3.0831 (6)	Y10—O19	2.4223 (16)
Ba1—O12	3.1141 (18)	Y10—O31	2.8058 (19)
Ba1—O2^i	3.1369 (19)	Y11—O20	2.2790 (16)
Ba1—O31^ii	3.274 (2)	Y11—O16	2.2876 (16)
Ba1—Y9	4.0878 (3)	Y11—O28^ix	2.3342 (16)
Ba1—Y4^i	4.1637 (3)	Y11—O23	2.3374 (16)
Ba1—Y12	4.1851 (3)	Y11—O9	2.3637 (16)
Ba1—Y10	4.1960 (3)	Y11—O26	2.3799 (16)
Y1—O16	2.2005 (16)	Y11—O30	2.5071 (16)
Y1—O33^ii	2.2170 (16)	Y12—O24	2.1194 (16)
Y1—O7^i	2.2498 (16)	Y12—O28	2.1921 (16)
Y1—O9	2.3055 (16)	Y12—O29	2.2564 (16)
Y1—O1^iii	2.3079 (16)	Y12—O25	2.2959 (16)
Y1—O3	2.5694 (17)	Y12—O19	2.4673 (17)
Y1—O4^i	2.8014 (19)	Y12—O17	2.4859 (17)
Y1—Y14^ii	3.5777 (3)	Y13—O27	2.2879 (16)
Y1—Y11	3.6356 (3)	Y13—O26	2.2892 (16)
Y2—O15	2.1496 (16)	Y13—O15^ix	2.3290 (16)
Y2—O13^iv	2.1736 (16)	Y13—O10^ix	2.3466 (16)
Y2—O10	2.2282 (16)	Y13—O29	2.3585 (16)
Y2—O6^iv	2.3233 (17)	Y13—O23	2.4039 (16)
Y2—O5	2.3485 (17)	Y13—O18	2.4563 (17)
Y2—O2^i	2.5253 (18)	Y14—O20^x	2.2389 (15)
Y3—O7	2.2297 (16)	Y14—O33	2.2856 (16)
Y3—O7^v	2.2436 (17)	Y14—O7^ix	2.2879 (16)
Y3—O9^vi	2.2546 (16)	Y14—O24^iii	2.3189 (16)
Y3—O1^v	2.2620 (16)	Y14—O20	2.3499 (16)
Y3—O28^vii	2.3197 (17)	Y14—O28^iii	2.3810 (16)
Y3—O8^v	2.4654 (17)	Y14—O30	2.5306 (16)
Y4—O1^iv	2.1898 (16)	Y15—O33	2.2050 (16)
Y4—O29^viii	2.2225 (16)	Y15—O27^iii	2.2231 (16)
Y4—O10	2.2772 (16)	Y15—O24^iii	2.2812 (16)
Y4—O11	2.2894 (19)	Y15—O21	2.3529 (16)
Y4—O6^iv	2.3810 (17)	Y15—O29^iii	2.3660 (16)
Y4—O12^iv	2.4084 (17)	Y15—O31	2.4990 (19)
Y5—O9	2.1569 (16)	Y15—O4^ix	2.5259 (19)
Y5—O13	2.2115 (15)	Y16—O27^iii	2.1983 (16)
Y5—O23	2.2252 (16)	Y16—O13^viii	2.2097 (16)
Y5—O18	2.3281 (16)	Y16—O22^xi	2.3185 (16)
Y5—O32^ix	2.3295 (17)	Y16—O22	2.3304 (16)
Y5—O5^i	2.4652 (18)	Y16—O15^xi	2.3343 (16)
Y6—O10	2.1976 (16)	Y16—O2^ix	2.5198 (18)
Y6—O33^viii	2.2074 (16)	Y16—O32	2.6127 (17)
Y6—O26^viii	2.2225 (16)	Si1—O4^i	1.6218 (19)
Y6—O31^viii	2.3284 (18)	Si1—O6^iii	1.6274 (17)
Y6—O30^viii	2.3395 (17)	Si1—O14	1.6423 (18)
Y6—O3^iv	2.4547 (17)	Si1—O2^i	1.6428 (18)
Y7—O24	2.2120 (16)	Si2—O18	1.6205 (17)
Y7—O20^vi	2.2383 (16)	Si2—O19	1.6356 (17)
Y7—O16^vi	2.2964 (16)	Si2—O3	1.6422 (18)
Y7—O1	2.3113 (16)	Si2—O12	1.6441 (18)
Y7—O21^vi	2.3455 (16)	Si3—O30^viii	1.6198 (17)
Y7—O8	2.5336 (17)	Si3—O8	1.6277 (17)
Y7—O12	2.6233 (17)	Si3—O17	1.6505 (17)
Y8—O21^vi	2.2060 (16)	Si3—O5	1.6596 (18)
Y8—O27	2.2339 (16)	Si4—O31	1.6201 (18)
Y8—O13	2.2527 (16)	Si4—O11^ix	1.621 (2)
Y8—O22^vi	2.2630 (16)	Si4—O32	1.6240 (17)
Y8—O18	2.3772 (16)	Si4—O25	1.6276 (17)
Y8—O6	2.3887 (17)
O17—Ba1—O11^i	125.29 (6)	O15^ix—Y13—O18	117.55 (5)
O17—Ba1—O19	67.40 (5)	O10^ix—Y13—O18	166.82 (5)
O11^i—Ba1—O19	118.72 (5)	O29—Y13—O18	101.48 (5)
O17—Ba1—O14	67.54 (5)	O23—Y13—O18	68.84 (5)
O11^i—Ba1—O14	167.12 (5)	O20^x—Y14—O33	159.82 (6)
O19—Ba1—O14	65.07 (5)	O20^x—Y14—O7^ix	91.30 (6)
O17—Ba1—O32^ii	120.23 (5)	O33—Y14—O7^ix	74.14 (6)
O11^i—Ba1—O32^ii	56.19 (5)	O20^x—Y14—O24^iii	123.98 (6)
O19—Ba1—O32^ii	172.15 (5)	O33—Y14—O24^iii	76.20 (6)
O14—Ba1—O32^ii	118.45 (5)	O7^ix—Y14—O24^iii	125.50 (6)
O17—Ba1—O8	55.42 (5)	O20^x—Y14—O20	81.19 (6)
O11^i—Ba1—O8	69.87 (5)	O33—Y14—O20	108.39 (6)
O19—Ba1—O8	91.90 (5)	O7^ix—Y14—O20	161.75 (6)
O14—Ba1—O8	122.96 (5)	O24^iii—Y14—O20	71.84 (5)
O32^ii—Ba1—O8	91.53 (5)	O20^x—Y14—O28^iii	78.17 (6)
O17—Ba1—O3	122.95 (5)	O33—Y14—O28^iii	110.40 (6)
O11^i—Ba1—O3	81.95 (6)	O7^ix—Y14—O28^iii	75.13 (6)
O19—Ba1—O3	55.78 (5)	O24^iii—Y14—O28^iii	73.94 (5)
O14—Ba1—O3	91.56 (5)	O20—Y14—O28^iii	118.95 (6)
O32^ii—Ba1—O3	116.44 (5)	O20^x—Y14—O30	98.17 (5)
O8—Ba1—O3	118.40 (5)	O33—Y14—O30	69.73 (5)
O17—Ba1—O5	54.50 (5)	O7^ix—Y14—O30	94.20 (5)
O11^i—Ba1—O5	93.27 (6)	O24^iii—Y14—O30	116.53 (5)
O19—Ba1—O5	121.73 (5)	O20—Y14—O30	70.66 (5)
O14—Ba1—O5	94.48 (5)	O28^iii—Y14—O30	168.52 (5)
O32^ii—Ba1—O5	65.78 (5)	O33—Y15—O27^iii	166.92 (6)
O8—Ba1—O5	52.96 (5)	O33—Y15—O24^iii	78.57 (6)
O3—Ba1—O5	171.32 (5)	O27^iii—Y15—O24^iii	114.43 (6)
O17—Ba1—O4^i	121.87 (5)	O33—Y15—O21	108.96 (6)
O11^i—Ba1—O4^i	112.30 (5)	O27^iii—Y15—O21	77.87 (6)
O19—Ba1—O4^i	93.13 (5)	O24^iii—Y15—O21	72.07 (6)
O14—Ba1—O4^i	54.85 (5)	O33—Y15—O29^iii	109.61 (6)
O32^ii—Ba1—O4^i	84.19 (5)	O27^iii—Y15—O29^iii	74.46 (6)
O8—Ba1—O4^i	172.47 (5)	O24^iii—Y15—O29^iii	73.58 (6)
O3—Ba1—O4^i	69.12 (5)	O21—Y15—O29^iii	120.73 (6)
O5—Ba1—O4^i	119.52 (5)	O33—Y15—O31	71.83 (6)
O17—Ba1—O12	90.81 (5)	O27^iii—Y15—O31	100.32 (6)
O11^i—Ba1—O12	65.77 (5)	O24^iii—Y15—O31	123.73 (6)
O19—Ba1—O12	53.63 (4)	O21—Y15—O31	73.98 (6)
O14—Ba1—O12	118.59 (5)	O29^iii—Y15—O31	161.71 (6)
O32^ii—Ba1—O12	121.94 (5)	O33—Y15—O4^ix	75.92 (6)
O8—Ba1—O12	65.98 (5)	O27^iii—Y15—O4^ix	92.57 (6)
O3—Ba1—O12	52.51 (4)	O24^iii—Y15—O4^ix	136.88 (6)
O5—Ba1—O12	118.90 (5)	O21—Y15—O4^ix	149.68 (6)
O4^i—Ba1—O12	121.55 (5)	O29^iii—Y15—O4^ix	83.02 (6)
O17—Ba1—O2^i	88.07 (5)	O31—Y15—O4^ix	79.68 (6)
O11^i—Ba1—O2^i	122.33 (5)	O27^iii—Y16—O13^viii	172.57 (6)
O19—Ba1—O2^i	117.32 (5)	O27^iii—Y16—O22^xi	109.86 (6)
O14—Ba1—O2^i	52.26 (5)	O13^viii—Y16—O22^xi	76.11 (6)
O32^ii—Ba1—O2^i	66.56 (5)	O27^iii—Y16—O22	75.36 (6)
O8—Ba1—O2^i	120.61 (5)	O13^viii—Y16—O22	102.30 (6)
O3—Ba1—O2^i	120.81 (5)	O22^xi—Y16—O22	77.17 (6)
O5—Ba1—O2^i	67.87 (5)	O27^iii—Y16—O15^xi	76.29 (6)
O4^i—Ba1—O2^i	51.95 (5)	O13^viii—Y16—O15^xi	110.19 (6)
O12—Ba1—O2^i	170.28 (4)	O22^xi—Y16—O15^xi	73.17 (6)
O17—Ba1—O31^ii	171.58 (5)	O22—Y16—O15^xi	128.31 (6)
O11^i—Ba1—O31^ii	51.27 (5)	O27^iii—Y16—O2^ix	102.52 (6)
O19—Ba1—O31^ii	120.95 (5)	O13^viii—Y16—O2^ix	76.41 (6)
O14—Ba1—O31^ii	115.88 (5)	O22^xi—Y16—O2^ix	126.26 (6)
O32^ii—Ba1—O31^ii	51.38 (5)	O22—Y16—O2^ix	154.03 (6)
O8—Ba1—O31^ii	120.55 (4)	O15^xi—Y16—O2^ix	74.45 (6)
O3—Ba1—O31^ii	65.30 (5)	O27^iii—Y16—O32	101.72 (6)
O5—Ba1—O31^ii	117.09 (5)	O13^viii—Y16—O32	70.85 (5)
O4^i—Ba1—O31^ii	61.03 (5)	O22^xi—Y16—O32	130.53 (5)
O12—Ba1—O31^ii	93.83 (5)	O22—Y16—O32	75.19 (5)
O2^i—Ba1—O31^ii	88.51 (5)	O15^xi—Y16—O32	153.20 (6)
O16—Y1—O33^ii	164.90 (6)	O2^ix—Y16—O32	80.06 (6)
O16—Y1—O7^i	117.27 (6)	O4^i—Si1—O6^iii	107.60 (10)
O33^ii—Y1—O7^i	76.22 (6)	O4^i—Si1—O14	112.98 (10)
O16—Y1—O9	75.36 (6)	O6^iii—Si1—O14	106.32 (9)
O33^ii—Y1—O9	116.75 (6)	O4^i—Si1—O2^i	112.40 (10)
O7^i—Y1—O9	74.38 (6)	O6^iii—Si1—O2^i	110.10 (10)
O16—Y1—O1^iii	74.23 (6)	O14—Si1—O2^i	107.27 (9)
O33^ii—Y1—O1^iii	103.99 (6)	O18—Si2—O19	107.53 (9)
O7^i—Y1—O1^iii	77.49 (6)	O18—Si2—O3	112.15 (9)
O9—Y1—O1^iii	121.91 (6)	O19—Si2—O3	110.27 (9)
O16—Y1—O3	96.07 (6)	O18—Si2—O12	107.58 (9)
O33^ii—Y1—O3	78.37 (6)	O19—Si2—O12	109.31 (9)
O7^i—Y1—O3	129.56 (6)	O3—Si2—O12	109.91 (9)
O9—Y1—O3	79.47 (6)	O30^viii—Si3—O8	114.47 (9)
O1^iii—Y1—O3	151.51 (6)	O30^viii—Si3—O17	109.39 (9)
O16—Y1—O4^i	95.15 (6)	O8—Si3—O17	108.02 (9)
O33^ii—Y1—O4^i	70.09 (5)	O30^viii—Si3—O5	109.38 (9)
O7^i—Y1—O4^i	129.53 (6)	O8—Si3—O5	108.41 (9)
O9—Y1—O4^i	155.15 (6)	O17—Si3—O5	106.90 (9)
O1^iii—Y1—O4^i	75.60 (5)	O31—Si4—O11^ix	109.95 (11)
O3—Y1—O4^i	78.78 (6)	O31—Si4—O32	111.84 (10)
O15—Y2—O13^iv	164.19 (6)	O11^ix—Si4—O32	109.85 (10)
O15—Y2—O10	80.50 (6)	O31—Si4—O25	105.96 (10)
O13^iv—Y2—O10	114.60 (6)	O11^ix—Si4—O25	109.90 (10)
O15—Y2—O6^iv	106.62 (6)	O32—Si4—O25	109.25 (9)
O13^iv—Y2—O6^iv	75.30 (6)	Y3^v—O1—Y1^vi	99.97 (6)
O10—Y2—O6^iv	72.67 (6)	Y4^i—O1—Y7	106.13 (6)
O15—Y2—O5	107.69 (6)	Y3^v—O1—Y7	103.68 (6)
O13^iv—Y2—O5	80.07 (6)	Y1^vi—O1—Y7	103.92 (6)
O10—Y2—O5	82.76 (6)	Si1^iv—O2—Y16^viii	125.68 (10)
O6^iv—Y2—O5	133.27 (6)	Si1^iv—O2—Y2^iv	142.19 (10)
O15—Y2—O2^i	89.15 (6)	Y16^viii—O2—Y2^iv	91.86 (6)
O13^iv—Y2—O2^i	76.91 (6)	Si1^iv—O2—Ba1^iv	72.88 (7)
O10—Y2—O2^i	164.80 (6)	Y16^viii—O2—Ba1^iv	102.67 (6)
O6^iv—Y2—O2^i	121.37 (6)	Y2^iv—O2—Ba1^iv	96.77 (6)
O5—Y2—O2^i	89.90 (6)	Si2—O3—Y6^i	140.38 (10)
O7—Y3—O7^v	74.11 (7)	Si2—O3—Y1	129.18 (9)
O7—Y3—O9^vi	112.65 (6)	Y6^i—O3—Y1	88.78 (5)
O7^v—Y3—O9^vi	75.50 (6)	Si2—O3—Ba1	77.07 (7)
O7—Y3—O1^v	78.85 (6)	Y6^i—O3—Ba1	103.76 (6)
O7^v—Y3—O1^v	112.62 (6)	Y1—O3—Ba1	108.66 (6)
O9^vi—Y3—O1^v	167.88 (6)	Si1^iv—O4—Y15^viii	140.05 (11)
O7—Y3—O28^vii	77.47 (6)	Si1^iv—O4—Y1^iv	128.30 (10)
O7^v—Y3—O28^vii	128.51 (6)	Y15^viii—O4—Y1^iv	90.11 (6)
O9^vi—Y3—O28^vii	77.21 (6)	Si1^iv—O4—Ba1^iv	75.63 (7)
O1^v—Y3—O28^vii	102.63 (6)	Y15^viii—O4—Ba1^iv	111.80 (6)
O7—Y3—O8^v	136.24 (6)	Y1^iv—O4—Ba1^iv	100.26 (6)
O7^v—Y3—O8^v	82.52 (6)	Si3—O5—Y2	131.00 (10)
O9^vi—Y3—O8^v	95.99 (6)	Si3—O5—Y5^iv	135.25 (9)
O1^v—Y3—O8^v	76.80 (6)	Y2—O5—Y5^iv	93.69 (6)
O28^vii—Y3—O8^v	143.34 (6)	Si3—O5—Ba1	75.18 (7)
O1^iv—Y4—O29^viii	102.44 (6)	Y2—O5—Ba1	103.67 (6)
O1^iv—Y4—O10	173.96 (6)	Y5^iv—O5—Ba1	99.19 (6)
O29^viii—Y4—O10	79.72 (6)	Si1^vi—O6—Y2^i	107.89 (8)
O1^iv—Y4—O11	85.27 (7)	Si1^vi—O6—Y4^i	110.09 (9)
O29^viii—Y4—O11	83.33 (6)	Y2^i—O6—Y4^i	104.79 (7)
O10—Y4—O11	100.62 (7)	Si1^vi—O6—Y8	115.51 (9)
O1^iv—Y4—O6^iv	103.27 (6)	Y2^i—O6—Y8	101.15 (6)
O29^viii—Y4—O6^iv	113.18 (6)	Y4^i—O6—Y8	116.09 (7)
O10—Y4—O6^iv	70.74 (6)	Y3—O7—Y3^v	105.89 (7)
O11—Y4—O6^iv	158.61 (7)	Y3—O7—Y1^iv	102.77 (7)
O1^iv—Y4—O12^iv	83.61 (6)	Y3^v—O7—Y1^iv	105.20 (7)
O29^viii—Y4—O12^iv	167.30 (6)	Y3—O7—Y14^viii	106.45 (7)
O10—Y4—O12^iv	95.40 (6)	Y3^v—O7—Y14^viii	129.59 (8)
O11—Y4—O12^iv	86.09 (7)	Y1^iv—O7—Y14^viii	104.07 (6)
O6^iv—Y4—O12^iv	75.61 (6)	Si3—O8—Y3^v	128.47 (9)
O9—Y5—O13	158.36 (6)	Si3—O8—Y7	133.04 (9)
O9—Y5—O23	82.38 (6)	Y3^v—O8—Y7	91.99 (5)
O13—Y5—O23	113.58 (6)	Si3—O8—Ba1	78.32 (7)
O9—Y5—O18	99.01 (6)	Y3^v—O8—Ba1	112.96 (6)
O13—Y5—O18	73.14 (6)	Y7—O8—Ba1	109.92 (6)
O23—Y5—O18	74.20 (6)	Y5—O9—Y3^iii	114.47 (7)
O9—Y5—O32^ix	119.60 (6)	Y5—O9—Y1	130.21 (7)
O13—Y5—O32^ix	76.55 (6)	Y3^iii—O9—Y1	103.02 (6)
O23—Y5—O32^ix	90.16 (6)	Y5—O9—Y11	101.40 (6)
O18—Y5—O32^ix	136.15 (6)	Y3^iii—O9—Y11	101.04 (6)
O9—Y5—O5^i	90.07 (6)	Y1—O9—Y11	102.27 (6)
O13—Y5—O5^i	76.80 (6)	Y6—O10—Y2	124.30 (7)
O23—Y5—O5^i	166.55 (6)	Y6—O10—Y4	111.88 (7)
O18—Y5—O5^i	118.19 (6)	Y2—O10—Y4	111.63 (7)
O32^ix—Y5—O5^i	83.90 (6)	Y6—O10—Y13^viii	103.06 (6)
O10—Y6—O33^viii	165.38 (6)	Y2—O10—Y13^viii	101.01 (6)
O10—Y6—O26^viii	78.30 (6)	Y4—O10—Y13^viii	100.99 (6)
O33^viii—Y6—O26^viii	114.42 (6)	Si4^viii—O11—Y4	143.51 (12)
O10—Y6—O31^viii	115.27 (6)	Si4^viii—O11—Ba1^iv	83.64 (8)
O33^viii—Y6—O31^viii	75.21 (6)	Y4—O11—Ba1^iv	110.42 (7)
O26^viii—Y6—O31^viii	81.58 (6)	Si2—O12—Y4^i	129.61 (10)
O10—Y6—O30^viii	102.46 (6)	Si2—O12—Y7	139.00 (9)
O33^viii—Y6—O30^viii	74.70 (6)	Y4^i—O12—Y7	91.21 (5)
O26^viii—Y6—O30^viii	77.67 (6)	Si2—O12—Y8	87.08 (7)
O31^viii—Y6—O30^viii	131.74 (7)	Y4^i—O12—Y8	100.30 (6)
O10—Y6—O3^iv	88.57 (6)	Y7—O12—Y8	89.28 (5)
O33^viii—Y6—O3^iv	81.09 (6)	Si2—O12—Ba1	72.27 (6)
O26^viii—Y6—O3^iv	159.14 (6)	Y4^i—O12—Ba1	97.04 (6)
O31^viii—Y6—O3^iv	89.66 (6)	Y7—O12—Ba1	102.71 (5)
O30^viii—Y6—O3^iv	121.43 (6)	Y8—O12—Ba1	158.69 (6)
O24—Y7—O20^vi	75.98 (6)	Y2^i—O13—Y16^ix	111.58 (7)
O24—Y7—O16^vi	122.82 (6)	Y2^i—O13—Y5	106.46 (7)
O20^vi—Y7—O16^vi	76.51 (6)	Y16^ix—O13—Y5	111.48 (7)
O24—Y7—O1	164.43 (6)	Y2^i—O13—Y8	110.63 (7)
O20^vi—Y7—O1	113.49 (6)	Y16^ix—O13—Y8	105.63 (6)
O16^vi—Y7—O1	72.41 (6)	Y5—O13—Y8	111.16 (7)
O24—Y7—O21^vi	73.43 (6)	Si1—O14—Y9	126.47 (9)
O20^vi—Y7—O21^vi	113.78 (6)	Si1—O14—Y10	129.76 (9)
O16^vi—Y7—O21^vi	73.56 (6)	Y9—O14—Y10	100.68 (6)
O1—Y7—O21^vi	111.28 (6)	Si1—O14—Ba1	82.27 (7)
O24—Y7—O8	95.10 (6)	Y9—O14—Ba1	102.19 (6)
O20^vi—Y7—O8	83.28 (6)	Y10—O14—Ba1	105.96 (6)
O16^vi—Y7—O8	129.72 (6)	Y2—O15—Y9	114.18 (7)
O1—Y7—O8	74.59 (5)	Y2—O15—Y13^viii	104.01 (6)
O21^vi—Y7—O8	155.33 (6)	Y9—O15—Y13^viii	104.44 (7)
O24—Y7—O12	90.20 (6)	Y2—O15—Y16^xi	125.53 (7)
O20^vi—Y7—O12	156.93 (6)	Y9—O15—Y16^xi	104.76 (6)
O16^vi—Y7—O12	126.50 (6)	Y13^viii—O15—Y16^xi	101.29 (6)
O1—Y7—O12	76.64 (5)	Y10—O16—Y1	122.70 (7)
O21^vi—Y7—O12	78.69 (6)	Y10—O16—Y11	107.97 (7)
O8—Y7—O12	79.60 (6)	Y1—O16—Y11	108.19 (7)
O21^vi—Y8—O27	80.79 (6)	Y10—O16—Y7^iii	105.58 (7)
O21^vi—Y8—O13	166.37 (6)	Y1—O16—Y7^iii	107.98 (7)
O27—Y8—O13	112.37 (6)	Y11—O16—Y7^iii	102.64 (6)
O21^vi—Y8—O22^vi	104.62 (6)	Si3—O17—Y9	131.87 (9)
O27—Y8—O22^vi	76.04 (6)	Si3—O17—Y12	125.83 (9)
O13—Y8—O22^vi	76.40 (6)	Y9—O17—Y12	97.30 (6)
O21^vi—Y8—O18	117.22 (6)	Si3—O17—Ba1	84.34 (7)
O27—Y8—O18	74.62 (6)	Y9—O17—Ba1	105.04 (6)
O13—Y8—O18	71.48 (6)	Y12—O17—Ba1	106.08 (6)
O22^vi—Y8—O18	123.05 (6)	Si2—O18—Y5	117.33 (9)
O21^vi—Y8—O6	94.41 (6)	Si2—O18—Y8	105.61 (8)
O27—Y8—O6	174.58 (6)	Y5—O18—Y8	103.00 (6)
O13—Y8—O6	72.59 (6)	Si2—O18—Y13	121.35 (9)
O22^vi—Y8—O6	107.80 (6)	Y5—O18—Y13	105.44 (6)
O18—Y8—O6	105.67 (6)	Y8—O18—Y13	101.38 (6)
O21^vi—Y8—O12	76.10 (6)	Si2—O19—Y10	127.62 (9)
O27—Y8—O12	108.64 (5)	Si2—O19—Y12	127.79 (9)
O13—Y8—O12	101.78 (5)	Y10—O19—Y12	99.39 (6)
O22^vi—Y8—O12	175.29 (5)	Si2—O19—Ba1	82.94 (7)
O18—Y8—O12	59.70 (5)	Y10—O19—Ba1	107.35 (6)
O6—Y8—O12	67.50 (5)	Y12—O19—Ba1	105.67 (6)
O15—Y9—O23^viii	80.64 (6)	Y7^iii—O20—Y14^x	129.43 (7)
O15—Y9—O22	78.25 (6)	Y7^iii—O20—Y11	104.78 (6)
O23^viii—Y9—O22	103.77 (6)	Y14^x—O20—Y11	104.63 (6)
O15—Y9—O25	177.52 (6)	Y7^iii—O20—Y14	104.94 (6)
O23^viii—Y9—O25	99.28 (6)	Y14^x—O20—Y14	98.81 (6)
O22—Y9—O25	99.39 (6)	Y11—O20—Y14	114.69 (7)
O15—Y9—O17	105.18 (6)	Y8^iii—O21—Y10	119.84 (7)
O23^viii—Y9—O17	85.86 (6)	Y8^iii—O21—Y7^iii	115.47 (7)
O22—Y9—O17	170.26 (6)	Y10—O21—Y7^iii	101.50 (6)
O25—Y9—O17	77.27 (6)	Y8^iii—O21—Y15	98.47 (6)
O15—Y9—O14	104.95 (6)	Y10—O21—Y15	117.68 (7)
O23^viii—Y9—O14	166.38 (6)	Y7^iii—O21—Y15	103.42 (6)
O22—Y9—O14	89.61 (6)	Y9—O22—Y8^iii	115.09 (7)
O25—Y9—O14	75.67 (6)	Y9—O22—Y16^xi	103.81 (6)
O17—Y9—O14	80.71 (6)	Y8^iii—O22—Y16^xi	101.78 (6)
O16—Y10—O26	77.73 (6)	Y9—O22—Y16	128.94 (7)
O16—Y10—O21	79.11 (6)	Y8^iii—O22—Y16	100.83 (6)
O26—Y10—O21	111.79 (6)	Y16^xi—O22—Y16	102.83 (6)
O16—Y10—O25	176.38 (6)	Y9^ix—O23—Y5	115.19 (7)
O26—Y10—O25	101.57 (6)	Y9^ix—O23—Y11	127.28 (7)
O21—Y10—O25	104.39 (6)	Y5—O23—Y11	100.19 (6)
O16—Y10—O14	105.23 (6)	Y9^ix—O23—Y13	101.97 (6)
O26—Y10—O14	163.87 (6)	Y5—O23—Y13	110.62 (7)
O21—Y10—O14	84.29 (6)	Y11—O23—Y13	100.31 (6)
O25—Y10—O14	74.45 (6)	Y12—O24—Y7	124.75 (8)
O16—Y10—O19	102.02 (6)	Y12—O24—Y15^vi	107.30 (7)
O26—Y10—O19	86.37 (6)	Y7—O24—Y15^vi	110.31 (7)
O21—Y10—O19	161.43 (6)	Y12—O24—Y14^vi	104.19 (6)
O25—Y10—O19	74.37 (5)	Y7—O24—Y14^vi	106.85 (6)
O14—Y10—O19	77.51 (6)	Y15^vi—O24—Y14^vi	100.67 (6)
O16—Y10—O31	123.07 (6)	Si4—O25—Y9	116.53 (8)
O26—Y10—O31	71.57 (6)	Si4—O25—Y12	114.63 (8)
O21—Y10—O31	69.97 (6)	Y9—O25—Y12	106.31 (6)
O25—Y10—O31	59.63 (5)	Si4—O25—Y10	105.81 (8)
O14—Y10—O31	117.33 (5)	Y9—O25—Y10	106.03 (6)
O19—Y10—O31	121.98 (6)	Y12—O25—Y10	106.82 (6)
O20—Y11—O16	75.89 (6)	Y10—O26—Y6^ix	112.77 (7)
O20—Y11—O28^ix	78.36 (6)	Y10—O26—Y13	125.02 (7)
O16—Y11—O28^ix	125.24 (6)	Y6^ix—O26—Y13	104.14 (7)
O20—Y11—O23	162.10 (6)	Y10—O26—Y11	102.55 (6)
O16—Y11—O23	122.00 (6)	Y6^ix—O26—Y11	108.66 (6)
O28^ix—Y11—O23	90.02 (6)	Y13—O26—Y11	102.45 (6)
O20—Y11—O9	113.46 (6)	Y16^vi—O27—Y15^vi	120.90 (7)
O16—Y11—O9	72.64 (6)	Y16^vi—O27—Y8	106.02 (7)
O28^ix—Y11—O9	74.83 (6)	Y15^vi—O27—Y8	101.61 (6)
O23—Y11—O9	75.75 (5)	Y16^vi—O27—Y13	106.97 (6)
O20—Y11—O26	109.58 (5)	Y15^vi—O27—Y13	109.56 (7)
O16—Y11—O26	71.68 (6)	Y8—O27—Y13	111.61 (7)
O28^ix—Y11—O26	163.06 (6)	Y12—O28—Y3^vii	126.58 (7)
O23—Y11—O26	78.39 (6)	Y12—O28—Y11^viii	124.62 (7)
O9—Y11—O26	113.44 (5)	Y3^vii—O28—Y11^viii	100.01 (6)
O20—Y11—O30	72.21 (6)	Y12—O28—Y14^vi	99.94 (6)
O16—Y11—O30	118.43 (6)	Y3^vii—O28—Y14^vi	100.67 (6)
O28^ix—Y11—O30	97.75 (6)	Y11^viii—O28—Y14^vi	98.62 (6)
O23—Y11—O30	96.28 (5)	Y4^ix—O29—Y12	119.57 (7)
O9—Y11—O30	168.90 (5)	Y4^ix—O29—Y13	102.27 (6)
O26—Y11—O30	71.65 (5)	Y12—O29—Y13	118.37 (7)
O24—Y12—O28	81.93 (6)	Y4^ix—O29—Y15^vi	113.01 (7)
O24—Y12—O29	78.96 (6)	Y12—O29—Y15^vi	100.15 (6)
O28—Y12—O29	105.13 (6)	Y13—O29—Y15^vi	102.53 (6)
O24—Y12—O25	177.11 (6)	Si3^ix—O30—Y6^ix	115.21 (9)
O28—Y12—O25	99.85 (6)	Si3^ix—O30—Y11	119.79 (9)
O29—Y12—O25	102.67 (6)	Y6^ix—O30—Y11	100.95 (6)
O24—Y12—O19	103.26 (6)	Si3^ix—O30—Y14	115.80 (8)
O28—Y12—O19	164.10 (6)	Y6^ix—O30—Y14	100.86 (6)
O29—Y12—O19	90.66 (6)	Y11—O30—Y14	101.37 (6)
O25—Y12—O19	74.42 (5)	Si4—O31—Y6^ix	124.64 (10)
O24—Y12—O17	102.60 (6)	Si4—O31—Y15	136.94 (10)
O28—Y12—O17	87.72 (6)	Y6^ix—O31—Y15	98.23 (6)
O29—Y12—O17	167.12 (6)	Si4—O31—Y10	88.42 (8)
O25—Y12—O17	75.27 (5)	Y6^ix—O31—Y10	91.53 (6)
O19—Y12—O17	76.51 (6)	Y15—O31—Y10	94.93 (7)
O27—Y13—O26	160.42 (6)	Si4—O31—Ba1^xii	67.62 (7)
O27—Y13—O15^ix	74.71 (6)	Y6^ix—O31—Ba1^xii	97.93 (6)
O26—Y13—O15^ix	124.66 (6)	Y15—O31—Ba1^xii	105.91 (6)
O27—Y13—O10^ix	118.30 (6)	Y10—O31—Ba1^xii	155.51 (7)
O26—Y13—O10^ix	74.01 (6)	Si4—O32—Y5^viii	129.38 (9)
O15^ix—Y13—O10^ix	74.47 (5)	Si4—O32—Y16	130.79 (9)
O27—Y13—O29	73.44 (6)	Y5^viii—O32—Y16	95.18 (6)
O26—Y13—O29	96.89 (6)	Si4—O32—Ba1^xii	80.42 (7)
O15^ix—Y13—O29	117.45 (6)	Y5^viii—O32—Ba1^xii	107.55 (6)
O10^ix—Y13—O29	75.62 (6)	Y16—O32—Ba1^xii	107.95 (6)
O27—Y13—O23	107.38 (5)	Y15—O33—Y6^ix	111.69 (7)
O26—Y13—O23	78.84 (5)	Y15—O33—Y1^xii	117.26 (7)
O15^ix—Y13—O23	72.93 (6)	Y6^ix—O33—Y1^xii	105.23 (7)
O10^ix—Y13—O23	112.50 (5)	Y15—O33—Y14	104.09 (6)
O29—Y13—O23	168.89 (6)	Y6^ix—O33—Y14	113.43 (7)
O27—Y13—O18	72.16 (6)	Y1^xii—O33—Y14	105.22 (6)
O26—Y13—O18	93.80 (6)

Symmetry codes: (i) −x, y−1/2, −z+1/2; (ii) x−1, y, z; (iii) x, −y+1/2, z−1/2; (iv) −x, y+1/2, −z+1/2; (v) −x, −y+1, −z+1; (vi) x, −y+1/2, z+1/2; (vii) −x+1, −y+1, −z+1; (viii) −x+1, y+1/2, −z+1/2; (ix) −x+1, y−1/2, −z+1/2; (x) −x+1, −y, −z; (xi) −x+1, −y+1, −z; (xii) x+1, y, z.